Isolated singularities of mappings with the inverse Poletski inequality

Evgeny Sevost'yanov

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arXiv · 2004.14317

Isolated singularities of mappings with the inverse Poletski inequality

Evgeny Sevost'yanov

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Abstract

We study open-closed discrete mappings that satisfy the weighted estimate of the distortion of modulus of families of paths. It is proved that the mappings mentioned above have a continuous extension into the isolated point of the boundary, provided that the corresponding weight function is integrable, and the cluster set of the mapping at a given point belongs to the boundary of the image under the mapping

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Evgeny Sevost'yanov. 2020-04-29. Isolated singularities of mappings with the inverse Poletski inequality. https://arxiv.org/abs/2004.14317

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